Details:
Title  Positivstellensatz and flat functionals on path ∗algebras  Author(s)  Stanislav Popovych  Type  Article in Journal  Abstract  We consider the class of noncommutative ∗algebras which are path algebras of doubles of quivers with the natural involutions. We study the problem of extending positive truncated functionals on such ∗algebras. An analog of the solution of the truncated Hamburger moment problem (Curto and Fialkow, 1991 [Fia91]) for path ∗algebras is presented and noncommutative positivstellensatz is proved. We also present an analog of the flat extension theorem of Curto and Fialkow for this class of algebras.  Keywords  Right Gröbner basis, Multiplicative basis, Path algebra, Flat functional, Moment problem  ISSN  00218693 
URL 
http://www.sciencedirect.com/science/article/pii/S0021869310003662 
Language  English  Journal  Journal of Algebra  Volume  324  Number  9  Pages  2418  2431  Year  2010  Edition  0  Translation 
No  Refereed 
No 
